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Norma-Jean [14]
3 years ago
6

Circle which 3 sides would make a triangle

Mathematics
1 answer:
Serhud [2]3 years ago
3 0

All of them because they all have 3 sides

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This is converting to polar form, I need help and the answer too.
Mila [183]

Answer:

2 cis (7/6 pi)

Step-by-step explanation:

r = sqrt( a^2 + b^2)

r = sqrt (-sqrt(3) )^2 + (-1)^2)

   = sqrt(3 +1)

    = sqrt(4)

    = 2

theta  = arctan (b/a)

theta = arctan (-1/-sqrt(3))

theta = 30

but this is in the third quardrant  -a and -b

so add 180

theta = 210 degrees

convert this to radians

210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi


r cis (theta)

2 cis (7/6 pi)

7 0
3 years ago
The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19
lisabon 2012 [21]

Answer:

39,223\ rabbits

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

a=9,100

substitute

y=9,100(1+r)^x

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

18,000=9,100(1+r)^7

(18,000/9,100)=(1+r)^7

elevated both sides to 1/7

(1+r)=1.1023

r=0.1023

therefore

y=9,100(1+0.1023)^x

y=9,100(1.1023)^x

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

y=9,100(1.1023)^{15}

y=39,223\ rabbits

6 0
3 years ago
Simplify the giving expression<br>(18/12 t-8)2<br>​
bekas [8.4K]

Answer:

3t - 16

Step-by-step explanation:

(18/12 t-8)*2

First simplify inside the parentheses

(3/2 t -8)*2

Then multiply

3/2t *2 -8*2

3t - 16

5 0
3 years ago
Read 2 more answers
Drag and drop the correct surface area to match the cube. cube with edge length = 3.2 m 12.8 m²19.2 m²51.2 m²61.44 m²
Ira Lisetskai [31]
- Surface Area of a Cube = 6(L)²
- Surface Area of this cube = 6(3.2)²
                                              = 61.44 m²
3 0
3 years ago
Please help do this right aswer gets brain liest
Vaselesa [24]
48 sq. Units
If I’m wrong I’m truly sorry
7 0
3 years ago
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